The length of latus rectum of the parabola whose focus is at $(1,-2)$ and directrix is the line $x+y+3=0$ is

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Aicharya · Accepted Answer

$\hat{f}^{(1,-2)}$ $x+y+3=0$ Distance of focus from $	ext { Dizectrix }=22$ $\begin{array}{l} 1^{2} 	ext { distance } \ =\frac{|1-2+3|}{\sqrt{2}} \ =\sqrt{2} . \end{array}$ Length of L.R $=2 \sqrt{2}$

The length of latus rectum of the parabola whose focus is at $(1,-2)$ and directrix is the line $x+y+3=0$ is

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